Exact supersymmetry can be maintained on non-anticommutative superspace with a twisted coproduct on the supergroup.We show that the usual exchange statistics for the superfields is not compatible with the twisted action of the superpoincaré group and find a statistics which is consistent with the twisted coproduct and imply interesting phenomena such as mixing of fermions and bosons under parti...

I define big data with respect to its size but pay particular attention to the fact that the data I am referring to is urban data, that is, data for cities that are invariably tagged to space and time. I argue that this sort of data are largely being streamed from sensors, and this represents a sea change in the kinds of data that we have about what happens where and when in cities. I describe ...

Smart Meters have been massively deployed recently, in order to provide energy awareness to people, helping them reduce their electricity footprint. We propose a Web-based infrastructure for integrating Smart Meters in future houses, providing high interoperability and scalability. We show that, by reusing the core principles of the modern Web architecture, we can build flexible applications on...

Collaboration is a widely accepted and successful learning construct. Benefits of collaboration include improved academic achievement, increased motivation, and improved social skills. In recent years, electronic educational games have made their way into the elementary school classroom. Many of these games are constructed around individual or competition-based learning environments. Pedagogica...

developed mobile information robot and smart meeting room.

Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes of homogeneous superspaces are described explicitly.

A Skolem sequence is a sequence s1, s2, . . . , s2n (where si ∈ A = {1 . . . n}), each si occurs exactly twice in the sequence and the two occurrences are exactly si positions apart. A set A that can be used to construct Skolem sequences is called a Skolem set. The problem of deciding which sets of the form A = {1 . . . n} are Skolem sets was solved by Thoralf Skolem in the late 1950’s. We stud...

We introduce the concept of the Grassmann real form of an arbitrary matrix supergroup and of its Lie superalgebra. This new notion includes as special cases the ordinary real forms (considered and classified by Serganova) but it is more general. Indeed, the Grassmann real forms are characterized by certain Lie superal-gebra automorphisms of order four, while the ordinary real forms by those of ...